Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

Major IR theories, which stress that actors will inevitably only seek to enhance their own interests, tend to contrive binaries of self and other and ‘inside’ and ‘outside’. By contrast, this book recognizes the general need of all to relate, which they do through various imagined resemblances between them. The authors of this book therefore propose the ‘balance of relationships’ (BoR) as a new international relations theory to transcend binary ways of thinking. BoR theory differs from mainstream IR theories owing to two key differences in its epistemological position. Firstly, the theory explains why and how states as socially-interrelated actors inescapably pursue a strategy of self-restraint in order to join a network of stable and long-term relationships. Secondly, owing to its focus on explaining bilateral relations, BoR theory bypasses rule-based governance. By positing ‘relationality’ as a key concept of Chinese international relations, this book shows that BoR can also serve as an important concept in the theorization of international relations, more broadly. The rising interest in developing a Chinese school of IR means the BoR theory will draw attention from students of IR theory, comparative foreign policy, Chinese foreign policy, East Asia, cultural studies, post-Western IR, post-colonial studies and civilizational politics.

Professor Xihua Cao (1920-2005) was a leading scholar at East China Normal University (ECNU) and a famous algebraist in China. His contribution to the Chinese academic circle is particularly the formation of a world-renowned 'ECNU School' in algebra, covering research areas include algebraic groups, quantum groups, algebraic geometry, Lie algebra, algebraic number theory, representation theory and other hot fields. In January 2020, in order to commemorate Professor Xihua Cao's centenary birthday, East China Normal University held a three-day academic conference. Scholars at home and abroad gave dedications or delivered lectures in the conference. This volume originates from the memorial conference, collecting the dedications of scholars, reminiscences of family members, and 16 academic articles written based on the lectures in the conference, covering a wide range of research hot topics in algebra. The book shows not only scholars' respect and memory for Professor Xihua Cao, but also the research achievements of Chinese scholars at home and abroad.

"Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."